University of Jyväskylä

Contact information

Pekka Koskela
Department of Mathematics and Statistics
P.O. Box 35
FI-40014 University of Jyväskylä

tel. +358 14 260 2706

Pekka Koskela

Research Interests

Geometric Analysis:
Quasiconformal and quasiregular mappings
Mappings of finite distortion and the necessary non-linear analysis
Sobolev-type inequalities in irregular domains
Analysis on metric spaces

Selected publications

[1] J.Heinonen and P.Koskela, `` Definitions of quasiconformality,'' Invent. Math. 120 (1995), 61--79.

[2] P.Hajlasz and P.Koskela, ``Sobolev meets Poincaré,'' C. R. Acad. Sci. Paris 320 (1995), 1211--1215.

[3] J.Heinonen and P.Koskela, `` Quasiconformal maps in metric spaces with controlled geometry,'' Acta Math. 181 (1998), 1--61.

[4] P.Hajlasz and P.Koskela, ``Sobolev met Poincaré,'' Mem. Amer. Math. Soc. 145 (2000), no. 688, 101 pp.

[5] T.Iwaniec, P.Koskela and J.Onninen, `` Mappings of finite distortion: Monotonicity and continuity,'' Invent. Math. 144 (2001), no. 3, 507--531.

[6] M.Bonk and P.Koskela, ``Conformal metrics and size of the boundary,'' Amer. J. Math. 124 (2002), 1247--1287.

[7] P.Hajlasz and P.Koskela, `` Formation of cracks under elastic deformations,'' Calc. Var. 19 (2004), 221--227.

[8] S.Hencl and P.Koskela, `` The regularity of the inverse of a planar Sobolev homeomorphism,'' Arch. Ration. Mech. Anal. 180 (2006), 75--95.

[9] Z.Balogh, P.Koskela and S.Rogovin, ``Absolute continuity of quasiconformal mappings on curves,'' Geom. Funct. Anal. (to appear)

[10] S.Hencl, P.Koskela and J.Onninen ,``Homeomorphisms of bounded variation,'' Arch. Ration. Mech. Anal. (to appear).

List of publications

Lectures on quasiconformal and quasisymmetric mappings



Acta Mathematica


Tbilisi Mathematical Journal